This is the 855th most frequent Polish word.
wyższa
"Higher" (feminine form).
In this case, 'wyższego' is an adjective in the comparative form describing 'poziomu' (level), which is in the genitive case due to the preposition 'znajomość' (knowledge), meaning a more advanced or elevated state.
Znajomość wyższego poziomu matematyki jest wymagana.
Knowledge of a higher level of mathematics is required.
Here, 'wyższej' serves as an adjective in the comparative form describing the noun 'uczelni' (education institution) in the locative case, denoting a type of tertiary education institution.
Pracuje na wyższej uczelni.
I work at a higher education institution.
Here, 'wyższą' is used as an adjective in the comparative form to describe the tower's height, modifying the noun 'wieżę' (tower) in the accusative case as an object.